Virtual laboratories as strategy for teaching improvement in Math Sciences and Engineering in Bolivia

Francisco Javier Triveno Vargas, Hugo Siles Alvarado


STEM education is a strategy based on four disciplines (science, technology, engineering and mathematics), integrated in an innovative interdisciplinary approach. Although, the concept of STEM education is more relevant today, the discussion of a teaching model with special attention in the four subjects aforementioned began in the early 2000s. Taking into account this context, the strategy presented in this paper has been disseminated in Bolivia’s main universities for the last five years. A country that has not yet managed to associate basic disciplines such as calculus, matrix algebra, and/or differential equations to solve problems of an applicative nature, that is, to establish the link between theory and practice. To establish the connection, it is necessary to deduce differential equations associated with practical problems; solve these equations with numerical methods, appeal to the simulation concept to later introduce programming languages like Python/VPython to build virtual laboratories. The classical problem addressed for this purpose is the satellite of two degrees of freedom.

Full Text:



Alvarado, H. S. (2019). Simulaciones en ciencias y tecnología. (Accessed: 2019-09-14)

Brian, S., & Frank, L. (2003). Aircraft control and simulation, 2nd edition. John Wiley Inc.

Deming, D., & Noray, K. (2018). Stem careers and technological change. Harvard University.

Duke, E. L., Antoniewicz, R. F., & Krambeer, K. D. (1988). Derivation and definition of a linear aircraft model (First ed.). NASA Reference Publication 1207.

Espinal, L. M., & Segui, F. S. (2019). La generacion´ de prácticas,´ proyectos o programas en educacion´ stem en el marco de una diplomatura virtual para america´ latina. Universidad de Alcala Servicio de Publicaciones.

Gangsaas, D., Hodgkinson, J., & Harden, C. (2008). Multidisciplinary control law design and flight test demonstration on a business jet. In AIAA (Ed.), (p. 1-25). AIAA Guidance, Navigation and Control Conference and Exhibit.

Gilat, A. (2006). Matlab com aplicações˜ em engenharia.Bookman.

Hetland, M. L. (2008). Beginning python: From novice to professional, second edition. Springer-Verlag New York.

Khalil, H. K. (2002). Nonlinear systems (Third ed.). Prentice Hall Inc.

Kupferman, R. (2008). Lecture notes in classical mechanics. The Hebrew University.

Kusalaas, J. (2013). Numerical methods in engineering with python 3. Cambridge University Press.

Lopez, J. C., & Sanches, L. J. (2011). Introduccion´ al mathematica 7 (First ed.). Universidad Politecnica de Valencia.

Ogata, K. (2011). Engenharia de controle moderno. Pearson Education.

Siqueira, D., Moreira, F. J. O., & Paglione, P. (2007). Robust flight control design supported by flying qualities analysis. In AIAA (Ed.), (p. 415-428). AIAA Guidance, Navigation and Control Conference, South Carolina.

Vargas, F. J. T. (2016). Un equipo de bolivianos desarrolla algoritmos para controlar drones. 10/27/equipo-bolivianos-desarrolla -algoritmos-para-controlar-drones -114891.html. (Accessed: 2018-12-12)

Vargas, F. J. T. (2018). Universidad: No quieren dar un paso adelante. oh/actualidad/20180312/universidad-no-quieren-dar-paso-adelante. (Accessed:2018-11-11)

Vargas, F. J. T., & Irusta, E. O. P. (2014). Modelado, simulacion´ y control d sistemas mecatronicos y aeroespaciales con matlab®y mathematicaT M . Editorial Serrano.

Vargas, F. J. T., Oliveira Moreira, F. J., & Paglione, P. (2016). Longitudinal stability and control augmentation with robustness and handling qualities requirements using the two degree of freedom controller. Journal of the Brazil-ian Society of Mechanical Sciences and Engineering, 38(7), 1843-1853. doi: 10.1007/s40430-015-0444-z

Vargas, F. J. T., & Paglione, P.(2015). Aplicaçõesde modelagem, simulação e controle com ferramentas de Algebra computacional. LTC.

Villate, J. E. (2018). Simulac¸oes˜ com vpython. https:// (Ac-cessed: 2018-15-11)

Wilson, D. I. (2015). Advanced control using matlab. Auckland University of Technology.

Wolovich, W. A. (1994). Automatic control systems: Basic analysis and design (Second ed.). Oxford University Press.


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Licensed under :

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 Unported License.


Indexing, Scientific Societies and Directories

Logo CAPES Logo periodicos.CAPES Logo Google Scholar

Logo GIF Logo Latindex Logo BASE Logo PKP


Logo Gaudeamus Logo ROAD Logo DOAJ